Home
Class 11
MATHS
Using contrapositive method prove th...

Using contrapositive method prove that, if `n^(2)` is an even integer , then n is also an even integer.

Answer

Step by step text solution for Using contrapositive method prove that, if n^(2) is an even integer , then n is also an even integer. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    RS AGGARWAL|Exercise (EXERCISE 29C)|5 Videos
  • Logarithm

    RS AGGARWAL|Exercise Exercise 1|9 Videos
  • MEASUREMENT OF ANGLES

    RS AGGARWAL|Exercise Exercise 14|16 Videos

Similar Questions

Explore conceptually related problems

Write the general form of an even integer

Write the contrapositive of the statement : "If n is a prime number, then n is even".

Knowledge Check

  • If n is an even positive integer, then a^(n)+b^(n) is divisible by

    A
    a+b
    B
    a-b
    C
    `a^(2)-b^(2)`
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    Let a and b be integers By the law of contrapositive prove that if ab is even then either a is even or b is even.

    Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer, where n is a positive integer. (JEE-2004]

    Write the set of all integers whose cube is a even integer.

    For any positive integer n prove that n^(3)-n is divisible by 6

    Write the converse and contrapositive of implications: if n is an even integer then it is divisible by 2

    For any positive integer n,prove that n^(3)-n is divisible by 6

    Prove that quad 2^(n)>n for all positive integers n.